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Finding the Fourth Proportional to 529.19, 729.87 and 351.83

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Solution

The fourth proportional to 529.19, 729.87 and 351.83 is: 485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.19 : 729.87 = 351.83 : x
  2. Step 2: Convert to fraction form
    529.19/729.87 = 351.83/x
  3. Step 3: Cross multiply
    529.19x = 729.87 × 351.83
  4. Step 4: Simplify right side
    529.19x = 256,790.16
  5. Step 5: Solve for x
    x = 256,790.16/529.19
  6. Step 6: Final answer
    x = 485.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.